Precalculus Examples

$y = \csc (x)$

Step 1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \csc (0)$

Step 2

Solve the equation.

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Step 2.1

Remove parentheses.

$y = \csc (0)$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\csc (0)$ .

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Step 2.2.1.1

Rewrite $\csc (0)$ in terms of sines and cosines.

$y = \frac{1}{\sin (0)}$

Step 2.2.1.2

The exact value of $\sin (0)$ is $0$ .

$y = \frac{1}{0}$

Step 2.2.2

The equation cannot be solved because it is undefined.

$Undefined$

Step 3

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

y-intercept(s): $None$

Step 4